Finding the Third Proportional to 35,979 and 78,517.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,979 : 78,517.50 = 78,517.50 : x
2. Step 2: Convert to fraction form
   35,979/78,517.50 = 78,517.50/x
3. Step 3: Cross multiply
   35,979x = 78,517.50 × 78,517.50
4. Step 4: Simplify right side
   35,979x = 6,164,997,806.25
5. Step 5: Solve for x
   x = 6,164,997,806.25/35,979
6. Step 6: Final answer
   x = 171,349.89